45thsquarenumber

How many Square Numbers?

Show the first 45 Square numbers

Square numbers form a square shape in dots

S_n = n²

S₄₅ = 45²

S₄₅ = 2025

#	Math	Square	Cumulative Math	Cumulative Sum
1	1²	1	0 + 1	1
2	2²	4	1 + 4	5
3	3²	9	5 + 9	14
4	4²	16	14 + 16	30
5	5²	25	30 + 25	55
6	6²	36	55 + 36	91
7	7²	49	91 + 49	140
8	8²	64	140 + 64	204
9	9²	81	204 + 81	285
10	10²	100	285 + 100	385
11	11²	121	385 + 121	506
12	12²	144	506 + 144	650
13	13²	169	650 + 169	819
14	14²	196	819 + 196	1,015
15	15²	225	1,015 + 225	1,240
16	16²	256	1,240 + 256	1,496
17	17²	289	1,496 + 289	1,785
18	18²	324	1,785 + 324	2,109
19	19²	361	2,109 + 361	2,470
20	20²	400	2,470 + 400	2,870
21	21²	441	2,870 + 441	3,311
22	22²	484	3,311 + 484	3,795
23	23²	529	3,795 + 529	4,324
24	24²	576	4,324 + 576	4,900
25	25²	625	4,900 + 625	5,525
26	26²	676	5,525 + 676	6,201
27	27²	729	6,201 + 729	6,930
28	28²	784	6,930 + 784	7,714
29	29²	841	7,714 + 841	8,555
30	30²	900	8,555 + 900	9,455
31	31²	961	9,455 + 961	10,416
32	32²	1,024	10,416 + 1,024	11,440
33	33²	1,089	11,440 + 1,089	12,529
34	34²	1,156	12,529 + 1,156	13,685
35	35²	1,225	13,685 + 1,225	14,910
36	36²	1,296	14,910 + 1,296	16,206
37	37²	1,369	16,206 + 1,369	17,575
38	38²	1,444	17,575 + 1,444	19,019
39	39²	1,521	19,019 + 1,521	20,540
40	40²	1,600	20,540 + 1,600	22,140
41	41²	1,681	22,140 + 1,681	23,821
42	42²	1,764	23,821 + 1,764	25,585
43	43²	1,849	25,585 + 1,849	27,434
44	44²	1,936	27,434 + 1,936	29,370
45	45²	2,025	29,370 + 2,025	31,395

2,025

2,025

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n² = n * n

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exponent: The power to raise a number
number: an arithmetical value, expressed by a word, symbol, or figure, representing a particular quantity and used in counting and making calculations and for showing order in a series or for identification. A quantity or amount.
square: a plane figure (regular quadrilateral) with four equal straight sides and four right angles
square number